did he renounced his parental rights?

For realsss, incredibly irresponsible and selfish hmph!!

Read the previous chapter smhhh he didn't have a choice

We read it lol and this is how i see it. In my opinion, he did have a choice. He chose a decision that wasn't good for his child. We're not saying he's a bad person, just not a great father. Doesn't matter his intentions when his child had been suffering for years. Just because you have an opinion different from us does not give you the right to invalidate how we think of him. We read it and saw it this way. I hope you understand where we're coming from. Cheers.

They were divorced and mom had custody, but yeah he should have been the one to become Yui's guardian after her mother's death, last chapter they brushed on the topic that the father was in a bad financial position at the time and that's why Jiu took her in

And whether he had a choice or not, it is still child neglect. That's why mc and mr.tiger are reluctant to trust the dad if he's gonna be responsible and present enough to take care of his child. That's why they tried to do co-parenting at first (few hours with dad, main caretakers are mc and tiger). I don't doubt the dad's love. But he needs to do better and step it up!!

Yess!! Not a bad man, just not a good father. At least he's trying. So i get it.

nah man. Don't say that. It's not true. He could have given Torano temporary custody.
Giving up his parental rights to an uncle who has met the child three times is crazy.

He didn't have the money to fight for rights if it wasn't for the uncle the court would have probably given Torano to a foster home

Giving somebody temporary custody is not as hard as fighting for rights. It's super easy. You have to hire a lawyer and go to the police. He had the money to hire a lawyer; we know that because he had to hire one to give up his parental rights.
There is no excuse, he is just a horrible father.